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11011110.github.io | ||
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mattbaker.blog
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| | | | | In my previous post, I presented a proof of the existence portion of the structure theorem for finitely generated modules over a PID based on the Smith Normal Form of a matrix. In this post, I'd like to explain how the uniqueness portion of that theorem is actually a special case of a more general... | |
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www.jeremykun.com
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| | | | | Previously on this blog, we've covered two major kinds of algebraic objects: the vector space and the group. There are at least two more fundamental algebraic objects every mathematician should something know about. The first, and the focus of this primer, is the ring. The second, which we've mentioned briefly in passing on this blog, is the field. There are a few others important to the pure mathematician, such as the $ R$-module (here $ R$ is a ring). | |
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gilkalai.wordpress.com
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| | | | | Gowers, Green, Manners and Tao. They reminded me of the A-team of the 1980s television series: "If you have a problem, if no one else can help, and if you can find them, maybe you can hire... the A-Team." A conjecture of Marton, widely known as "the polynomial Freiman-Ruzsa conjecture" was certainly a holy grail | |
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www.johncoulthart.com
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| | | Shooting from the hip | David Thomson on 'jazz film'. | ||